School of Basic Sciences
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Item Dynamic correlations in a charged Bose gas(Physiscal Review B, 1998) Kumar, TankeshwarItem A Verification Approach for GALS Integration of Synchronous Components(Electronic Notes in Theoretical Computer Science, 2006) Gupta, R.K.Item Approaches towards the synthesis of 5-aminopyrazoles(Beilstein Journal of Organic Chemistry, 2011) Kumar, VinodItem Controlling diffusion by varying width of layers in Nano channel(Nano-Micro Letters, 2012) Kumar, TankeshwarItem Recent advances in N-heterocyclic carbene (NHC)-catalysed benzoin reactions(Beilstein Journal of Organic Chemistry, 2016) Menon, Rajeev S.Item Snow cover dynamics and geohazards: a case study of Bhilangna watershed, Uttarakhand Himalaya, India(Springer, 2016) Kumar, ManishItem Facile synthesis of 4H-chromene derivatives via base-mediated annulation of ortho-hydroxychalcones and 2-bromoallyl sulfones(Beilstein Journal of Organic Chemistry, 2016) Menon, Rajeev S.Item Numerical Study of Rosenau-KdVEquation Using Finite Element Method Based on Collocation Approach(Mathematical Modelling and Analysis, 2017) Dhawan, SharanjeetIn the present paper, a numerical method is proposed for the numerical solution of Rosenau-KdV equation with appropriate initial and boundary conditions by using collocation method with septic B-spline functions on the uniform mesh points. The method is shown to be unconditionally stable using von-Neumann technique. To check accuracy of the error norms L2 and L1 are computed. Interaction of two and three solitary waves are used to discuss the e ect of the behavior of the solitary waves during the interaction. Furthermore, evolution of solitons is illustrated by undular bore initial condition. These results show that the technique introduced here is suitable to investigate behaviors of shallow water waves.Item Ultra-narrow blue phosphorene nanoribbons for tunable optoelectronics(RSC Advances, 2017) Kumar, TankeshwarItem Relations for moments of progressively type –II right censored order statistics from Erlang truncated exponential distribution.(American Journal of Mathematical and Management Sciences, 2017) Kumar, DevendraItem Relations for Moments of Generalized Order Statistics from Extended Exponential Distribution(AMERICAN JOURNAL OF MATHEMATICAL AND MANAGEMENT SCIENCES, 2017) Kumar, DevendraItem Blending type approximation by Stancu-Kantorovich operators based on Pólya-Eggenberger distribution(Open Physics, 2017) Kajla, ArunItem The Singh–Maddala distribution: properties and estimation(2017-03) Kumar, DThe Singh–Maddala distribution is very flexible and most widely used for modeling the income, wage, expenditure and wealth distribution of the country. Several mathematical and statistical properties of this distribution (such as quantiles, moments, moment generating function, hazard rate, mean residual lifetime, mean deviation about mean and median, Bonferroni and Lorenz curves and various entropies) are derived. We establish relations for the single and product moments of generalized order statistics from the Singh–Maddala distribution and then we use these results to compute the first four moments and variance of order statistics and record values for sample different sizes for various values of the shape and scale parameters. For this distribution, two characterizing results based on conditional moments of generalized order statis tics and recurrence relations for single moments are established. The method of maximum likelihood is adopted for estimating the unknown parameters. For different parameters settings and sample sizes, the various simula tion studies are performed and compared to the perfor mance of the Singh–Maddala distribution. An application of the model to a real data set is presented and compared with the fit attained by some other well-known two and three parameters distributions.Item Alpha power transformed inverse Lindley distribution: A distribution with an upside-down bathtub-shaped hazard function(2017-08) De, S; Nassar, M; Kumar, DThe inverse Lindley distribution has been generalized by many authors in recent years. Here, we introduce a new generalization called alpha power transformed inverse Lindley (APTIL) distribution that provides better fits than the inverse Lindley distribution and some of its known generalizations. The new model includes the inverse Lindley distribution as a special case. Various properties of the proposed distribution, including explicit expres sions for the mode, moments, conditional moments, mean residual lifetime, Bonferroni and Lorenz curves, entropies, stochastic ordering, stress–strength reliability and order statistics are derived. The new distribution can have an upside-down bathtub failure rate function depending on its parameters. The model parameters are obtained by the method of maximum likelihood estimation. The approximate confidence intervals of the model parameters are also obtained. A simulation study is carried out to examine the performance of the maximum likelihood estimators of the parameters. Finally, two data sets have been analyzed to show how the proposed model works in practice.Item Moment Generating Functions of Complementary Exponential-Geometric Distribution Based on k-th Lower Record Values(Journal of Modern Applied Statistical Methods, 2018) Kumar, DevendraItem Phenols and Polyphenols: Promise and Peril to Human Health(Bentham Science Publishers, 2018) Kumar, VinodItem Upper Record Values from Extended Exponential Distribution(Journal of Modern Applied Statistical Methods, 2018) Kumar, DevendraItem Approximation by Stancu-Durrmeyer Type Operators Based on P´olya-Eggenberger Distribution(Filomat, 2018) Kajla, ArunItem Buoyancy-driven convective heat transfer from a semi-circular cylinder for various confinements(Indian Academy of Sciences, 2018) Gupta, R.K.Item On the bézier variant of the srivastava-gupta operators(Constructive Mathematical Analysis, 2018) Kajla, ArunIn the present paper, we introduce the Bézier variant of the Srivastava-Gupta operators, which preserve constant as well as linear functions. Our study focuses on a direct approximation theorem in terms of the Ditzian-Totik modulus of smoothness, respectively the rate of convergence for differentiable functions whose derivatives are of bounded variation.